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Finding the Fourth Proportional to 572.56, 857.70 and 442.10

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Solution

The fourth proportional to 572.56, 857.70 and 442.10 is: 662.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.56 : 857.70 = 442.10 : x
  2. Step 2: Convert to fraction form
    572.56/857.70 = 442.10/x
  3. Step 3: Cross multiply
    572.56x = 857.70 × 442.10
  4. Step 4: Simplify right side
    572.56x = 379,189.17
  5. Step 5: Solve for x
    x = 379,189.17/572.56
  6. Step 6: Final answer
    x = 662.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.